What is the Greatest Common Factor of 75385 and 75390?

Greatest common factor (GCF) of 75385 and 75390 is 5.

GCF(75385,75390) = 5

We will now calculate the prime factors of 75385 and 75390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75385 and 75390.

How to find the GCF of 75385 and 75390?

We will first find the prime factorization of 75385 and 75390. After we will calculate the factors of 75385 and 75390 and find the biggest common factor number .

Step-1: Prime Factorization of 75385

Prime factors of 75385 are 5, 15077. Prime factorization of 75385 in exponential form is:

75385 = 5¹ × 15077¹

Step-2: Prime Factorization of 75390

Prime factors of 75390 are 2, 3, 5, 7, 359. Prime factorization of 75390 in exponential form is:

75390 = 2¹ × 3¹ × 5¹ × 7¹ × 359¹

Step-3: Factors of 75385

List of positive integer factors of 75385 that divides 75385 without a remainder.

1, 5, 15077

Step-4: Factors of 75390

List of positive integer factors of 75390 that divides 75385 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 359, 718, 1077, 1795, 2154, 2513, 3590, 5026, 5385, 7539, 10770, 12565, 15078, 25130, 37695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75385 and 75390. The biggest common factor number is the GCF number.
So the greatest common factor 75385 and 75390 is 5.

Also check out the Least Common Multiple of 75385 and 75390